Question

x + y = -11\
-4x + y = 5\
(-2, 4)

Explanation:

Step1: Label the equations

Let Equation 1: $x + y = -11$
Equation 2: $-4x + y = 5$

Step2: Subtract Equation1 from Equation2

$$(-4x + y) - (x + y) = 5 - (-11)$$
$$-4x + y - x - y = 5 + 11$$
$$-5x = 16$$

Step3: Solve for x

$$x = \frac{16}{-5} = -3.2$$

Step4: Substitute x into Equation1

$$-3.2 + y = -11$$
$$y = -11 + 3.2$$
$$y = -7.8$$

Answer:

$x=-3.2$, $y=-7.8$

*(Note: The given proposed solution $(-2,4)$ is incorrect, as substituting $x=-2,y=4$ into Equation1 gives $-2+4=2
eq-11$, and into Equation2 gives $-4(-2)+4=12
eq5$)*